#7258 ⟨a, b, c | aa=1, bbcb=cc⟩

Contents

Properties
Rewriting system

Properties

Sum of relation sides is 8
Infinite non-commutative monoid
Element ba has infinite order

Rewriting system

Format:	Pretty Plain
Word:
	Enter a word above to compute its normal form. Tips: Lowercase letters stand for generators. Spaces are ignored. Numbers repeat the previous letter, e.g. `b90`.
Strategy:	Leftmost Rightmost
Result:	1 1

Reduction order:
- Left-to-right shortlex with a < b < c
Certificate: derivations of all rewriting rules from the defining relations.

#	Rule	Proof
1.	a² ⇒ 1	[1]
2.	b²cb ⇒ c²	[2]
3.	c(cb)² ⇒ b²c³	[3]

# abc:aa=1,bbcb=cc abc - -
aa=1
bbcb=cc
ccbcb=bbccc